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Show that if a surface is given in the forn z=(x, y),then the measure of curvature k can be expressed as k=(z_xxz_yy -( z_xy)^2)/(1+ (z_x)^2 +(z_y)^2)^2 hint show first that if X, Y, Z are coordinates on the unit sphere correspobdibg to the point (x, y, z(x, y)) on the given surface then, X= (-z_x)/square root(1+(z_x)^2 +(z_y)^2, Y = (-z_y)/squareroot (1+(z_x)^2 +(z_y)^2) Z= 1/ squar root (1+(z_x)^2 +(z_y)^2)
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
Question: Field and force with three charges? What is the electric field at the location of Q1, due to Q 2 ?
What is the maximum displacement of the bridge deck?
What is the magnitude of the current in the wire as a function of time?
Questions on blackbody, Infra-Red Detectors & Optic Lens and Digital Image.
Illustrate the cause of the components accelerating from rest down the conveyor.
Calculate the dc voltage applied to the circuit.
Quadrupole moments in the shell model
Determine the tension in each string
Calculate the smallest coefficient of static friction necessary for mass A to remain stationary.
Evaluate maximum altitude?
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